Skip to main content

Integral geometry and twistors

  • Twistor Geometry
  • Conference paper
  • First Online:
Twistor Geometry and Non-Linear Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 970))

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. Penrose R., Non-linear gravitons and curved twistor theory, General Relativity and Gravitation, 1976, 7, 31–52.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Bernstein J.N., Gindikin S.G. Admissible families of curves, pre-print, Moscow, 1980.

    Google Scholar 

  3. Bernstein J.N., Gindikin S.G. The geometrical structure of admissible families of curves, pre-print, Moscow, 1980.

    Google Scholar 

  4. Gelfand I.M., Gindikin S.G., Shapiro Z.Ya. The local problem of the integral geometry in the space of curves, Funct. Anal. 13, 2 (1979), 11–31. (Russian).

    MathSciNet  Google Scholar 

  5. Manin Yu.I. Gage fields and holomorphic geometry. In the collection "Modern problems of Mathematics", vol. 17, M., VINITI, Acad. Sci, USSR (Russian).

    Google Scholar 

  6. Gindikin S.G., Khenkin G.M., The complex integral geometry and the Penrose transform, ibid. (Russian).

    Google Scholar 

  7. Klein F. Vorlesungen über Höhere Geometrie, Berlin, Springer, 1926.

    Book  MATH  Google Scholar 

  8. Atiyah M.F., Hitchin N.J., Singer I.M., Self-duality in four-dimensional Riemannian geometry, Proc, Roy, Soc. London, Ser. A., 1978, 362, 425–461.

    Google Scholar 

  9. Ward R.S., A class of self-dual solutions of Einstein’s equations, Proc. Roy, Soc. London, Ser. A, 1978, 363, 289–295.

    Google Scholar 

  10. Curtis W.D., Lerner D.E., Miller F.R., Complex waves and the non-linear gravition construction, J. Math, Phys. 19 (10), 1978, 2024–2027.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  11. Arnold V.I., Extra chapters of the ordinary differential equations theory. Moscow, Nauka, 1978. (Russian).

    Google Scholar 

  12. Gelfand I.M., Graev M.I., Admissible complexes of curves in ℂn. Funct. analysis, 2, 3(1968), 39–52. (Russian).

    MathSciNet  Google Scholar 

  13. Malyusz K., The structure of admissible complexes of lines in ℂℙn. Transactions of the Moscow Mathematical Society, 39 (1979), 181–211 (Russian).

    MathSciNet  Google Scholar 

  14. Gelfand I.M., Grayev M.I., Shapiro Z.Ya. The integral geometry on k-dimensional planes, Funct. Anal. 1,1 (1967), 15–31 (Russian).

    MathSciNet  Google Scholar 

Download references

Authors

Editor information

Heinz-Dietrich Doebner Tchavdar D. Palev

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Spring-Verlag

About this paper

Cite this paper

Gindikin, S.G. (1982). Integral geometry and twistors. In: Doebner, HD., Palev, T.D. (eds) Twistor Geometry and Non-Linear Systems. Lecture Notes in Mathematics, vol 970. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066022

Download citation

  • DOI: https://doi.org/10.1007/BFb0066022

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11972-2

  • Online ISBN: 978-3-540-39418-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics